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Introduction to Logic: Basics of Mathematical Reasoning
Gain insights into formal logic, propositional logic, and first-order logic. Learn inference rules and master proof construction to sharpen critical thinking and problem-solving skills.
4.3
43 Lessons
6h
Join 2.9 million developers at
Join 2.9 million developers at
LEARNING OBJECTIVES
- An understanding of propositional logic
- An understanding of first-order logic
- An understanding of deductive logic
- Familiarity with the structure of mathematical proofs
Learning Roadmap
2.
Propositional Logic
Propositional Logic
Unpack the core of propositions, logical equivalence, and propositional calculus in mathematical reasoning.
3.
Basic Operations
Basic Operations
11 Lessons
11 Lessons
Work your way through basic logical operations and their properties, including conjunctions, disjunctions, and negations.
4.
Propositional Toolkit
Propositional Toolkit
4 Lessons
4 Lessons
Break down complex ideas in logical identities, tautologies, contradictory propositions, and fundamental logical operations.
5.
Logical Reasoning
Logical Reasoning
9 Lessons
9 Lessons
Take a look at logical inference, propositional rules, proofs, common fallacies, and logical puzzles.
6.
Quantifiers and First Order Logic
Quantifiers and First Order Logic
5 Lessons
5 Lessons
Investigate the use of predicates, quantifiers, variables, and negation in logical reasoning.
7.
Quantified Logical Reasoning
Quantified Logical Reasoning
4 Lessons
4 Lessons
Master the steps to nested quantifiers, negation, logical equivalence, and inference rules in reasoning.
8.
Proving Theorems
Proving Theorems
5 Lessons
5 Lessons
Break down the methods of proving theorems and strategies to avoid common proof errors.
Certificate of Completion
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Developed by MAANG Engineers
ABOUT THIS COURSE
Formal logic provides a systematic and rigorous framework for expressing and analyzing arguments, which enables learners to evaluate the validity of reasoning, fostering critical thinking skills. Proficiency in constructing and understanding proofs enhances problem-solving abilities, encourages precision in thought, and promotes clarity in communication.
In this course, you’ll explore propositions and logical connectives in propositional logic. Next, you’ll cover first-order logic, which extends the scope to include variables, quantifiers, and predicates. Next, the rules of inference are discussed which provide the logical steps required to establish the validity of mathematical statements.
After taking this course, you’ll develop the skills to navigate and manipulate logical systems effectively. You’ll also acquire the essential toolkit for constructing rigorous and convincing mathematical proofs—a skill that is pivotal in advanced mathematics, computer science, and other analytical disciplines.
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